101378560000 has 195 divisors, whose sum is σ = 254613802971. Its totient is φ = 40347648000.

The previous prime is 101378559983. The next prime is 101378560013. The reversal of 101378560000 is 65873101.

The square root of 101378560000 is 318400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7948079104 + 93430480896 = 89152^2 + 305664^2 .

It is a super-2 number, since 2×101378560000² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 509439901 + ... + 509440099.

Almost surely, 2^101378560000 is an apocalyptic number.

101378560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101378560000 is the 318400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101378560000

101378560000 is an abundant number, since it is smaller than the sum of its proper divisors (153235242971).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101378560000 is an frugal number, since it uses more digits than its factorization.

101378560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 101378560000 in words is "one hundred one billion, three hundred seventy-eight million, five hundred sixty thousand".